LCM of 634, 490, 920, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 490, 920, 105 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 634, 490, 920, 105. So, keep reading to learn more.
Given numbers are 634,490,920,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,490,920,105 is 42871080.
Find LCM of 634,490,920,105 with Prime Factorization
| 2 | 634, 490, 920, 105 |
| 5 | 317, 245, 460, 105 |
| 7 | 317, 49, 92, 21 |
| 317, 7, 92, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 317 x 7 x 92 x 3 = 42871080
Therefore, the lowest common multiple of 634,490,920,105 is 42871080.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
634 x 490 x 920 x 105 = 30009756000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
634 : 1, 2, 317, 634
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,490,920,105, is 1.
Now, the common factors can be found like this.
634:2x 317
490:2x 5x 7x 7
920:2x 2x 2x 5x 23
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 7 = 700
Therefore, the value for common factors is 700.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 30009756000/(1x700)
LCM = 30009756000/700
LCM = 42871080
Thus, we can understand that the LCM of 634,490,920,105 is 42871080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 490, 920, 105
1. What is the LCM of 634, 490, 920, 105?
Answer: LCM of 634, 490, 920, 105 is 42871080.
2. How to calculate the LCM of 634, 490, 920, 105?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 634, 490, 920, 105.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.